so that cannot override that sort by time. Plus, likes data are stored in a wp_bp_activity_meta tag, which as I look into phpmyadmin are non-column mapped in sql:

i.e.:
6 93 liked_count a:1:{i:1;s:10:”user_likes”;}

which is not sortable at all. So the only (efficient) way is to build up a new like database, triggered on each bp_like_add_user_like, and bp_like_remove_user_like. But still, there is no filter available to trigger anything here. I’m afraid that the only way to achieve this behaviour is by hacking plugin’s code or propose to add a filter to the main code and write a new plugin/widget which uses it.